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arxiv: 1107.1303 · v1 · pith:DXIP7A5Anew · submitted 2011-07-07 · 🧮 math.AP

Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption

classification 🧮 math.AP
keywords equationsingularabsorptiondiffusionexistencegradientsolutionsuniqueness
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Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{p}u+|\nabla u|^q=0, \ \hbox{in} \ (0,\infty)\times\real^N, {equation*} where $2N/(N+1)

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